- High-contrast problems
- Domain decomposition and multiscale methods (some references)
- Richard's equation
- Darcy equation
- Coarse spaces constructions
- Ensemble-level preconditioning
- Abstract elliptic problems with important physical parameter
- Numerical approximation of random elliptic equations
- Elliptic equations with lognormal distributions (some references)
- Stochastic regularity
- Infinity dimensional problems
- White Noise Analysis and error estimates
- Preconditioners
- Ensemble-level preconditioning
- Coupling of heterogeneous models
- Coupling fluid flow with porous media flow (some references)
- Preconditioning of heterogeneous coupling
- Discontinuous Galerkin (DG) discretization
- Robust solvers for DG of heterogeneous elliptic equations (some references)
- Some others:
- Coarse spaces for nonlinear problems
- Non-symmetric preconditioners (RAS)
- Eigenvalue problems
- Robust control
- Seismic wave propagation
- Advection-diffusion
Oct. 03/2010